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Finding the Fourth Proportional to 7,563.70, 11,345.55 and 5,230.90

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Solution

The fourth proportional to 7,563.70, 11,345.55 and 5,230.90 is: 7,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.70 : 11,345.55 = 5,230.90 : x
  2. Step 2: Convert to fraction form
    7,563.70/11,345.55 = 5,230.90/x
  3. Step 3: Cross multiply
    7,563.70x = 11,345.55 × 5,230.90
  4. Step 4: Simplify right side
    7,563.70x = 59,347,437.50
  5. Step 5: Solve for x
    x = 59,347,437.50/7,563.70
  6. Step 6: Final answer
    x = 7,846.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.